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Numerical methods for computing the eigenvalues of linear fourth-order boundary-value problems

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Publication:1196850
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DOI10.1016/0377-0427(92)90046-ZzbMath0755.65083MaRDI QIDQ1196850

E. H. Twizell, S. A. Matar

Publication date: 16 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

numerical resultsPadé approximantsfinite-difference methodseigenvalue problemsequivalent first-order problemsfourth-order boundary-value problems


Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)




Cites Work

  • Finite difference methods for computing eigenvalues of fourth order boundary value problems
  • Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
  • Numerical methods for approximating eigenvalues of boundary value problems
  • Qualitative Properties of vibrating systems
  • An investigation into the linear theory of ship response to waves
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